11109942452400 has 960 divisors, whose sum is σ = 40864560500736. Its totient is φ = 2555707392000.

The previous prime is 11109942452363. The next prime is 11109942452407. The reversal of 11109942452400 is 425424990111.

It is not an unprimeable number, because it can be changed into a prime (11109942452407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4485239962 + ... + 4485242438.

Almost surely, 2^{11109942452400} is an apocalyptic number.

11109942452400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109942452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432280250368).

11109942452400 is an abundant number, since it is smaller than the sum of its proper divisors (29754618048336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11109942452400 is a wasteful number, since it uses less digits than its factorization.

11109942452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 11109942452400 in words is "eleven trillion, one hundred nine billion, nine hundred forty-two million, four hundred fifty-two thousand, four hundred".